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Rewrite rational expressions Videos 5 videos
Multiplying rational expressions is as easy as adding the exponents and simplifying. Ta da!
It's impressive that these expressions are able to stay so rational even when they're having operations performed on them.
Factoring Polynomials 3383 Views
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Description:
Factoring polynomials allows us to group things—and everything's always better in groups. Well... almost everything.
- Algebra / Perform arithmetic operations on polynomials
- Algebra / Understand the relationship between zeros and factors of polynomials
- Algebra / Understand the relationship between zeros and factors of polynomials
- Algebra / Use polynomial identities to solve problem
- Algebra / Rewrite rational expressions
- Algebra / Perform arithmetic operations on polynomials
- Algebra / Understand the relationship between zeros and factors of polynomials
- Algebra / Use polynomial identities to solve problems
- Algebra / Rewrite rational expressions
Transcript
- 00:03
Factoring polynomials by grouping a la shmoop!
- 00:07
Grunkle.. goblinvilles newest architect was having trouble constructing a hovel his [Goblin architecht thinking of a design]
- 00:12
hovel looks like this if he doesn't finish it by sundown he will look like
- 00:17
this and you help grunkle simplify his blueprints.. the area of the hovel floor [Tomatoes hit grunkle in the face]
- 00:24
should be x squared plus 3 X plus 2 X plus 6 all those polynomials are making
Full Transcript
- 00:30
Grunkle rather blue which is unfortunate since Grunkle is usually a lovely [Grunkle with dirt on his face crying]
- 00:33
emerald green good thing we can factor this polynomial by grouping.. the first
- 00:39
two terms have a common factor of X and the last two terms have a common factor [Two terms with common factor X and last two terms common factor of 2]
- 00:43
of two we can rewrite the polynomial as x times X plus 3 plus 2 times X plus 3. See
- 00:55
another factor we can pull out into both terms have X plus 3 as a factor we can [People browsing through binoculars over a lake]
- 01:01
pull out an x plus 3 from each, this gives us X plus 2 times X plus 3
- 01:07
happy factorization Grunkle all you have to do now is look at your blueprint to [Grunkle stood beside a rainbow with his hovel blueprint]
- 01:12
see what X is and x equals the length of a ferocious jungle Jabberwocky sorry [Jabberwocky chases Grunkle away]
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